1093640881410 has 1536 divisors, whose sum is σ = 4107187814400. Its totient is φ = 200462169600.

The previous prime is 1093640881393. The next prime is 1093640881423. The reversal of 1093640881410 is 141880463901.

1093640881410 is a `hidden beast` number, since 10 + 93 + 6 + 408 + 8 + 141 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 16322998197 + ... + 16322998263.

It is an arithmetic number, because the mean of its divisors is an integer number (2673950400).

Almost surely, 2^{1093640881410} is an apocalyptic number.

1093640881410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1093640881410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053593907200).

1093640881410 is an abundant number, since it is smaller than the sum of its proper divisors (3013546932990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1093640881410 is a wasteful number, since it uses less digits than its factorization.

1093640881410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1093640881410 in words is "one trillion, ninety-three billion, six hundred forty million, eight hundred eighty-one thousand, four hundred ten".